Home / 2,252.75-3,380.87-1,564.25

Finding the Fourth Proportional to 2,252.75, 3,380.87 and 1,564.25

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Solution

The fourth proportional to 2,252.75, 3,380.87 and 1,564.25 is: 2,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.75 : 3,380.87 = 1,564.25 : x
  2. Step 2: Convert to fraction form
    2,252.75/3,380.87 = 1,564.25/x
  3. Step 3: Cross multiply
    2,252.75x = 3,380.87 × 1,564.25
  4. Step 4: Simplify right side
    2,252.75x = 5,288,525.90
  5. Step 5: Solve for x
    x = 5,288,525.90/2,252.75
  6. Step 6: Final answer
    x = 2,347.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.